At 8 a.m., Vincent left Hotel M in his car and travelled towards Hotel N at 75 km/h. At the same time, Ahmad left Hotel M in his car and travelled in the opposite direction towards Hotel P. When Ahmad reached Hotel P at 10.40 a.m., Vincent was 18 km away from Hotel N.
- What was the distance from Hotel M to Hotel N?
- If the distance between Hotel N and Hotel P was 370 km, what was Ahmad's speed?
(a)
From 8 a.m. to 10.40. am = 2 h 40 min
60 min = 1 h
1 min =
160 h
40 min =
4060 =
23 h
2 h 40 min = 2
23 h
Distance from Hotel M to Hotel N
= 75 x 2
23 + 18
= 75 x
83 + 18
= 200 + 18
= 218 km
(b)
Distance travelled by Ahmad
= 370 - 218
= 152 km
Ahmad's speed
= 152 ÷ 2
23 = 152 ÷
83 = 152 x
38 = 57 km/h
Answer(s): (a) 218 km; (b) 57 km/h